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Journal of Mathematical and Computational Science ISSN 1927-5307 (Print)

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J. Math. Comput. Sci. 12 (2022), Article ID 113

Complex dynamics of a discrete-time model with prey refuge and Holling type-II functional response

R. Ahmed, M. S. Yazdani

PDF (445.5 KB) https://doi.org/10.28919/jmcs/7205

Abstract

The chaotic dynamics of a discrete-time predator-prey model with prey refuge and Holling type-II functional response are investigated. We investigate the system’s existence and local stability. Using bifurcation theory, it is demonstrated that the system experiences period-doubling bifurcation and Neimark-Sacker bifurcation. Furthermore, numerical simulations are carried out to demonstrate the compatibility with analytical conclusions as well as the system’s complexity.

Published
14 March 2022
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2022 R. Ahmed, M. S. Yazdani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

R. Ahmed, M. S. Yazdani, Complex dynamics of a discrete-time model with prey refuge and Holling type-II functional response, J. Math. Comput. Sci. 12 (2022), 113. https://doi.org/10.28919/jmcs/7205

BibTeX
@article{Ahmed2022,
  author  = {Ahmed, R. and Yazdani, M. S.},
  title   = {Complex dynamics of a discrete-time model with prey refuge and Holling type-II functional response},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {113},
  doi     = {10.28919/jmcs/7205}
}